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Table 6 Fixed effect estimates, standard errors and z-values of the LMM for OTK children

From: Covid Pandemic Effects on the Physical Fitness of Primary School Children: Results of the German EMOTIKON Project

Source of variance

Fixed-effect estimate

Standard error

z-value

Grand mean (intercept)

0.433

0.054

7.98

Physical fitness component

 ECS versus LUB

0.079

0.058

1.37

 EC versus S

− 0.111

0.076

− 1.46

 E versus C

0.268

0.095

2.81

 L versus U

0.133

0.097

1.38

 U versus B

− 0.356

0.110

− 3.24

Covid comparison (2016–2019 versus 2020–2022) nested within physical fitness components

 Endurance: Covid

− 0.038

0.014

− 2.82

 Coordination: Covid

− 0.024

0.014

− 1.75

 Speed: Covid

− 0.008

0.013

− 0.57

 PowerLOW: Covid

− 0.018

0.014

− 1.28

 PowerUP: Covid

− 0.027

0.013

− 2.05

 Balance: Covid

− 0.039

0.013

− 3.02

Age (linear) nested within physical fitness components

 Endurance: a1

− 0.737

0.187

− 3.94

 Coordination: a1

− 1.436

0.187

− 7.70

 Speed: a1

− 0.793

0.185

− 4.28

 PowerLOW: a1

− 1.254

0.193

− 6.51

 PowerUP: a1

− 1.594

0.184

− 8.67

 Balance: a1

− 0.695

0.175

− 3.98

Age (quadratic) nested within physical fitness components

 Endurance: a2

0.206

0.097

2.12

 Coordination: a2

0.507

0.097

5.25

 Speed: a2

0.229

0.096

2.39

 PowerLOW: a2

0.433

0.100

4.34

 PowerUP: a2

0.643

0.095

6.74

 Balance: a2

0.228

0.091

2.51

Sex nested within physical fitness components

 Endurance: Sex

− 0.038

0.013

− 3.06

 Coordination: Sex

0.051

0.013

4.08

 Speed: Sex

0.018

0.012

1.46

 PowerLOW: Sex

0.070

0.013

5.45

 PowerUP: Sex

0.051

0.012

4.14

 Balance: Sex

0.060

0.012

5.12

  1. Physical fitness contrasts: ECS versus LUB = endurance, coordination, and speed versus powerLOW, powerUP, and balance. EC versus S = endurance and coordination versus speed. E versus C = endurance versus coordination. L versus U = powerLOW versus powerUP. U versus B = powerUP versus balance. Covid = Comparison of cohorts 2016–2019 with cohorts 2020–2022. Endurance = cardiorespiratory endurance (i.e., 6-min run test), coordination = star-run test, speed = 20-m linear sprint test, powerLOW = lower limbs muscle power (i.e., standing long jump test), powerUP = upper limbs muscle power (i.e., ball-push test), Balance = static balance (i.e., one-legged-stance test with eyes closed). Bold = |z| > 2.0, linear mixed model random factors: schools (514) and children (27,383), observations = 157,751. For estimates of variance components and correlation parameters, see Table 7